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142134020141300 = 225211563823278867
BaseRepresentation
bin100000010100010100100111…
…110001111111000011110100
3200122020212202020121222022022
4200110110213301333003310
5122112210433124010200
61222143244544452312
741636562343143065
oct4024244761770364
9618225666558268
10142134020141300
1141319776a41890
1213b3663791a098
1361402469a0815
14271547512056c
151167373230885
hex814527c7f0f4

142134020141300 has 144 divisors (see below), whose sum is σ = 337478397000192. Its totient is φ = 51530421129600.

The previous prime is 142134020141299. The next prime is 142134020141359. The reversal of 142134020141300 is 3141020431241.

It is a self number, because there is not a number n which added to its sum of digits gives 142134020141300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509544467 + ... + 509823333.

It is an arithmetic number, because the mean of its divisors is an integer number (2343599979168).

Almost surely, 2142134020141300 is an apocalyptic number.

142134020141300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142134020141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739198500096).

142134020141300 is an abundant number, since it is smaller than the sum of its proper divisors (195344376858892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142134020141300 is a wasteful number, since it uses less digits than its factorization.

142134020141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280278 (or 280271 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 142134020141300 its reverse (3141020431241), we get a palindrome (145275040572541).

The spelling of 142134020141300 in words is "one hundred forty-two trillion, one hundred thirty-four billion, twenty million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 563 823 1100 1126 1646 2252 2815 3292 4115 5630 6193 8230 9053 11260 12386 14075 16460 18106 20575 24772 28150 30965 36212 41150 45265 56300 61930 82300 90530 123860 154825 181060 226325 278867 309650 452650 463349 557734 619300 905300 926698 1115468 1394335 1853396 2316745 2788670 3067537 4633490 5096839 5577340 6135074 6971675 9266980 10193678 11583725 12270148 13943350 15337685 20387356 23167450 25484195 27886700 30675370 46334900 50968390 61350740 76688425 101936780 127420975 153376850 157002121 229507541 254841950 306753700 314004242 459015082 509683900 628008484 785010605 918030164 1147537705 1570021210 1727023331 2295075410 2524582951 3140042420 3454046662 3925053025 4590150820 5049165902 5737688525 6908093324 7850106050 8635116655 10098331804 11475377050 12622914755 15700212100 17270233310 22950754100 25245829510 34540466620 43175583275 50491659020 63114573775 86351166550 126229147550 129212745583 172702333100 252458295100 258425491166 516850982332 646063727915 1292127455830 1421340201413 2584254911660 2842680402826 3230318639575 5685360805652 6460637279150 7106701007065 12921274558300 14213402014130 28426804028260 35533505035325 71067010070650 142134020141300